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3 years ago

11

A fair coin is flipped three times. What is the probability of getting two heads and then a tail?

2 answers:

ycow [4]3 years ago

6 0

Answer:

the answer is 1/8, or 12.5%.

Step-by-step explanation:

Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.

Debora [2.8K]3 years ago

3 0

2/3!

I hope this helped! Mark me Brainliest! :) -Raven❤️

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the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large

Dmitriy789 [7]

Answer:

The volume of the similar prism is $336\ cm^{3}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

so

$z^{3}=\frac{x}{y}$

In this problem we have

$z=2$ -----> the scale factor

$y=42\ cm^{3}$

substitute and solve for x

$x=42(2^{3})=336\ cm^{3}$

3 0

3 years ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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3 years ago

Which is a true statement about an exterior angle of a triangle?

svlad2 [7]

Answer:

B. It forms a linear pair with one of the interior angles of the triangle.

hope this helped! <3

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3 years ago

The width of a rectangle is three times its height. If it has an area of 60.75 square feet, what are its dimensions?

horrorfan [7]

The answer is D my dude don’t over think. Since it’s are multiply your answer choices till you reach 60.75

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3 years ago

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The price of a visit to the dentist is \$50$50. If the dentist fills any cavities, an additional charge of \$100$100 per cavity

kenny6666 [7]

Answer:300

Step-by-step explanation:

um i dk know if the two 50$ means any thing but thats what i got

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3 years ago